Details

Time bar (total: 2.3s)

sample27.0ms

Algorithm
intervals
Results
16.0ms369×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1334
2644
3794
4794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- (* x x) (* (* y 4.0) z))

simplify79.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0113123
1540111
22732108
35001104

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.2b
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus fma-neg sqrt-unprod diff-log prod-diff prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))
20.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
7.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x x) (* (* y 4.0) z))
48.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
65.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
69.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0249970
11040891
25002857

prune245.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 68
Calls
4 calls:
4.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
5.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
70.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0140588
1510568
22079564
35002556

prune245.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample822.0ms

Algorithm
intervals
Results
556.0ms12262×body80valid